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A272983 Decimal expansion of the normalized asymptotic mean of omega(m) when m is one of the values <= n taken by Euler's phi totient function. 1
2, 1, 8, 6, 2, 6, 3, 4, 6, 4, 8, 8, 5, 7, 5, 4, 8, 0, 8, 0, 5, 0, 8, 6, 7, 5, 7, 9, 5, 9, 0, 1, 0, 1, 7, 4, 3, 8, 7, 5, 8, 7, 9, 9, 5, 3, 8, 0, 1, 2, 5, 2, 4, 7, 7, 5, 6, 4, 6, 6, 4, 4, 5, 6, 8, 2, 1, 0, 6, 6, 2, 3, 4, 6, 5, 2, 1, 2, 1, 0, 4, 9, 2, 1, 1, 1, 0, 2, 0, 4, 2, 2, 0, 0, 0, 1, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 2.7. Euler Totient Constants, pp. 115-119.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

Steven R. Finch, Errata and Addenda to Mathematical Constants, arXiv:2001.00578 [math.HO], 2020, p. 16.

Kevin Ford, The distribution of Totients

FORMULA

1/(1 - rho), where rho is A246746.

EXAMPLE

2.186263464885754808050867579590101743875879953801252477564664456821...

MATHEMATICA

digits = 98; F[x_?NumericQ] := NSum[((k+1)*Log[k+1] - k*Log[k] - 1)*x^k, {k, 1, Infinity}, WorkingPrecision -> digits + 10, NSumTerms -> 1000]; rho = x /. FindRoot[F[x] == 1, {x, 1/2, 3/5}, WorkingPrecision -> digits + 10]; RealDigits[1/(1 - rho), 10, digits] // First

CROSSREFS

Cf. A000010, A001221, A246746, A234614, A246751.

Sequence in context: A108085 A108084 A305860 * A195698 A193908 A193904

Adjacent sequences:  A272980 A272981 A272982 * A272984 A272985 A272986

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, May 12 2016

STATUS

approved

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Last modified June 19 20:52 EDT 2021. Contains 345146 sequences. (Running on oeis4.)